What is the Least Common Multiple of 10080 and 10098?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 10080 and 10098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10080 and 10098, than apply into the LCM equation.

GCF(10080,10098) = 18
LCM(10080,10098) = ( 10080 × 10098) / 18
LCM(10080,10098) = 101787840 / 18
LCM(10080,10098) = 5654880

Least Common Multiple (LCM) of 10080 and 10098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10080 and 10098. First we will calculate the prime factors of 10080 and 10098.

Prime Factorization of 10080

Prime Factorization of 10098

Now multiplying the highest exponent prime factors to calculate the LCM of 10080 and 10098.

LCM(10080,10098) = 2⁵ × 3³ × 5¹ × 7¹ × 11¹ × 17¹
LCM(10080,10098) = 5654880